{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5d0f3f8a",
   "metadata": {},
   "source": [
    "## Q_learning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c55ae843",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:05:18.839831Z",
     "start_time": "2024-05-10T02:05:18.833831Z"
    }
   },
   "outputs": [],
   "source": [
    "import gym\n",
    "import numpy as np\n",
    "from IPython import display\n",
    "from gym.envs.toy_text.frozen_lake import generate_random_map\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "579d16b6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:03:46.579094Z",
     "start_time": "2024-05-10T02:03:46.571659Z"
    }
   },
   "outputs": [],
   "source": [
    "class GymHelper:\n",
    "    def __init__(self,env,figsize=(3,3)):\n",
    "        self.env=env\n",
    "        self.figsize=figsize\n",
    "        plt.figure(figsize=figsize)\n",
    "        self.img=plt.imshow(env.render())\n",
    "    def render(self,title=None):\n",
    "        img_data=self.env.render()\n",
    "        self.img.set_data(img_data)\n",
    "        display.display(plt.gcf())\n",
    "        display.clear_output(wait=True)\n",
    "        if title:\n",
    "            plt.title(title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "89f0ef79",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:06:42.235628Z",
     "start_time": "2024-05-10T02:06:41.428388Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(12)\n",
    "env=gym.make(\"FrozenLake-v1\",desc=generate_random_map(size=4),is_slippery=False,render_mode=\"rgb_array\")\n",
    "env.reset()\n",
    "gym_helper=GymHelper(env)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9bc1ef53",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:12:57.037521Z",
     "start_time": "2024-05-10T02:12:57.032025Z"
    }
   },
   "outputs": [],
   "source": [
    "num_episodes=5000\n",
    "gamma=0.99\n",
    "alpha=0.1\n",
    "def choose_action(state,Q,epsilon=0.1):\n",
    "    if np.random.rand()<epsilon:#以eps选择随机选择一个动作\n",
    "        return np.random.randint(env.action_space.n)\n",
    "    else:#否则选择具有最高Q值的动作\n",
    "        return np.argmax(Q[state])\n",
    "def q_update_value(state,action,reward,next_state,done,Q):\n",
    "    if done:#如果达到终止状态,根据奖励更新Q值\n",
    "        Q[state][action]+=alpha*(reward-Q[state][action])\n",
    "    else:#如果未达到终止状态,根据Q-learning公式更新Q值\n",
    "        Q[state][action]+=alpha*(reward+gamma*np.max(Q[next_state])-Q[state][action])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "76e863ad",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:23:18.839342Z",
     "start_time": "2024-05-10T02:23:17.829068Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EPS:5000\n",
      "Max reward:-1\n"
     ]
    }
   ],
   "source": [
    "Q=np.zeros((env.observation_space.n,env.action_space.n))\n",
    "total_reward=[]\n",
    "\n",
    "for i in range(num_episodes):\n",
    "    sum_reward=0\n",
    "    state,_=env.reset()\n",
    "    while True:\n",
    "        action=choose_action(state,Q)\n",
    "        next_state,reward,terminated,truncated,info=env.step(action)\n",
    "        done=terminated or truncated\n",
    "        if 'FrozenLake' in env.spec.id:\n",
    "            if terminated and reward==1:#游戏终止且到达终点,给予高额奖励\n",
    "                reward=20\n",
    "            elif terminated and reward==0:#游戏终止且掉进冰洞给予反向奖励\n",
    "                reward=-20\n",
    "            else:#每走一步奖励为-1,其实是鼓励agent尽快完成任务\n",
    "                reward=-1\n",
    "        q_update_value(state,action,reward,next_state,done,Q)\n",
    "        sum_reward+=reward\n",
    "        state=next_state\n",
    "        if done:\n",
    "            break\n",
    "        total_reward.append(sum_reward)\n",
    "print(\"EPS:{0}\\nMax reward:{1}\".format(num_episodes,max(total_reward)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2c988633",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:23:35.933573Z",
     "start_time": "2024-05-10T02:23:35.712001Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2323a391660>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(total_reward[::20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "3c0ff622",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:26:12.327040Z",
     "start_time": "2024-05-10T02:26:12.321548Z"
    }
   },
   "outputs": [],
   "source": [
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4b70a4c2",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:27:18.671222Z",
     "start_time": "2024-05-10T02:27:14.562550Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "observation,_=env.reset()\n",
    "gym_helper=GymHelper(env,figsize=(3,3))\n",
    "for i in range(20):\n",
    "    gym_helper.render(title=str(i))\n",
    "    action=choose_action(observation,Q,epsilon=0)\n",
    "    observation,reward,terminated,truncated,info=env.step(action)\n",
    "    done=terminated or truncated\n",
    "    time.sleep(0.5)\n",
    "    if done:\n",
    "        break\n",
    "gym_helper.render(title=\"finished\")\n",
    "env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fa95bdfb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:29:13.439660Z",
     "start_time": "2024-05-10T02:29:13.433540Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([['右', '右', '右', '下'],\n",
       "       ['上', '左', '左', '下'],\n",
       "       ['左', '右', '右', '下'],\n",
       "       ['左', '左', '右', '左']], dtype='<U1')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([\"左\",\"下\",\"右\",\"上\"])[np.argmax(Q.reshape(4,4,4),axis=2)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "615d1afc",
   "metadata": {},
   "source": [
    "## SARSA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "17d0ef7e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:32:03.740784Z",
     "start_time": "2024-05-10T02:32:03.735934Z"
    }
   },
   "outputs": [],
   "source": [
    "def sarsa_update_value(state,action,reward,next_state,next_action,done,Q):\n",
    "    if done:#如果达到终止状态,根据奖励更新Q值\n",
    "        Q[state][action]+=alpha*(reward-Q[state][action])\n",
    "    else:#如果未达到终止状态,根据Q-learning公式更新Q值\n",
    "        Q[state][action]+=alpha*(reward+gamma*Q[next_state][next_action]-Q[state][action])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "6a594c67",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:36:02.315638Z",
     "start_time": "2024-05-10T02:36:01.389887Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EPS:5000\n",
      "Max reward:-2\n"
     ]
    }
   ],
   "source": [
    "Q=np.zeros((env.observation_space.n,env.action_space.n))\n",
    "total_reward=[]\n",
    "\n",
    "for i in range(num_episodes):\n",
    "    sum_reward=0\n",
    "    state,_=env.reset()\n",
    "    action=choose_action(state,Q)\n",
    "    while True:\n",
    "        action=choose_action(state,Q)\n",
    "        next_state,reward,terminated,truncated,info=env.step(action)\n",
    "        done=terminated or truncated\n",
    "        if 'FrozenLake' in env.spec.id:\n",
    "            if terminated and reward==1:#游戏终止且到达终点,给予高额奖励\n",
    "                reward=20\n",
    "            elif terminated and reward==0:#游戏终止且掉进冰洞给予反向奖励\n",
    "                reward=-20\n",
    "            else:#每走一步奖励为-1,其实是鼓励agent尽快完成任务\n",
    "                reward=-2\n",
    "        next_action=choose_action(next_state,Q)\n",
    "        sarsa_update_value(state,action,reward,next_state,next_action,done,Q)\n",
    "        sum_reward+=reward\n",
    "        state,action=next_state,next_action\n",
    "        if done:\n",
    "            break\n",
    "        total_reward.append(sum_reward)\n",
    "print(\"EPS:{0}\\nMax reward:{1}\".format(num_episodes,max(total_reward)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "24aae93a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:36:10.329776Z",
     "start_time": "2024-05-10T02:36:10.169479Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2323e42e9e0>]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(total_reward[::20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "75a737ea",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:36:17.367754Z",
     "start_time": "2024-05-10T02:36:13.333701Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "observation,_=env.reset()\n",
    "gym_helper=GymHelper(env,figsize=(3,3))\n",
    "for i in range(20):\n",
    "    gym_helper.render(title=str(i))\n",
    "    action=choose_action(observation,Q,epsilon=0)\n",
    "    observation,reward,terminated,truncated,info=env.step(action)\n",
    "    done=terminated or truncated\n",
    "    time.sleep(0.5)\n",
    "    if done:\n",
    "        break\n",
    "gym_helper.render(title=\"finished\")\n",
    "env.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "e412914d",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-10T02:36:23.863576Z",
     "start_time": "2024-05-10T02:36:23.854084Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([['右', '右', '右', '下'],\n",
       "       ['上', '左', '左', '下'],\n",
       "       ['左', '右', '右', '下'],\n",
       "       ['左', '左', '右', '左']], dtype='<U1')"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([\"左\",\"下\",\"右\",\"上\"])[np.argmax(Q.reshape(4,4,4),axis=2)]"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
